Atkin-Lehner |
2- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514y |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
8013600 |
Modular degree for the optimal curve |
Δ |
-165686623839715328 = -1 · 225 · 76 · 19 · 472 |
Discriminant |
Eigenvalues |
2- -1 -4 7- -4 -5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26985085,53944021011] |
[a1,a2,a3,a4,a6] |
Generators |
[2871:-13468:1] |
Generators of the group modulo torsion |
j |
-18471699048587981865409/1408313065472 |
j-invariant |
L |
3.6211834923084 |
L(r)(E,1)/r! |
Ω |
0.24560705891167 |
Real period |
R |
0.29487617439293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786d1 |
Quadratic twists by: -7 |